((x^2+2X-3)/x)/((5X+15)/(x+5))

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Solution for ((x^2+2X-3)/x)/((5X+15)/(x+5)) equation: 


D( x )

x+5 = 0

(5*X+15)/(x+5) = 0

x = 0

x+5 = 0

x+5 = 0

x+5 = 0 // - 5

x = -5

(5*X+15)/(x+5) = 0

(5*X+15)/(x+5) = 0

x = 0

x = 0

x in (-oo:-5) U (-5:0) U (0:+oo)

((2*X+x^2-3)/x)/((5*X+15)/(x+5)) = 0

((2*X+x^2-3)*(x+5))/(x*(5*X+15)) = 0

( 2*X+x^2-3 )

1*x^2 = -(2*X-3) // : 1

x^2 = 3-(2*X)

x^2 = 3-2*X // ^ 1/2

abs(x) = (3-2*X)^(1/2)

x = (3-2*X)^(1/2) or x = -(3-2*X)^(1/2)

( x+5 )

x+5 = 0 // - 5

x = -5

x in { -5} 

x in { (3-2*X)^(1/2), -(3-2*X)^(1/2) }

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